Mastering Kinematics in One Dimension

An object starts from rest and accelerates uniformly at 5 m/s². What is the velocity of the object after 6 seconds?

• 10 m/s

• 30 m/s

• 60 m/s

• 15 m/s

A car moving with an initial velocity of 20 m/s comes to a stop in 5 seconds due to uniform deceleration. What is the magnitude of this deceleration?

• 2 m/s²

• 4 m/s²

• -4 m/s²

• -2 m/s²

What is the displacement of an object that moves with a constant velocity of 10 m/s for 8 seconds?

• 18 m

• 80 m

• 40 m

• 100 m

If a ball is thrown straight up with an initial velocity of 15 m/s, what will be its velocity at the peak of its motion?

• 0 m/s

• 7.5 m/s

• 15 m/s

• -15 m/s

Which of the following equations is not one of the equations of motion for uniformly accelerated motion?

• v = v₀ + at

• d = v₀t + 1/2 at²

• v² = v₀² + 2ad

• d = v₀t - 1/2 at²

On a velocity-time graph, what does the area under the curve represent?

• Acceleration

• Displacement

• Velocity

• Time

A runner has a displacement of 100 meters to the east and a total distance traveled of 150 meters. What is the magnitude of the runner's average velocity?

• 1.5 m/s

• 1.0 m/s

• 0.67 m/s

• Cannot be determined without time

During free fall, the acceleration due to gravity is approximately 9.8 m/s². If an object is dropped from rest, how long will it take to reach a speed of 19.6 m/s?

• 1 second

• 2 seconds

• 4 seconds

• 9.8 seconds

A car accelerates uniformly from rest to 25 m/s in 5 seconds. What is the total displacement of the car during this time?

• 62.5 m

• 125 m

• 25 m

• 250 m

What is the final velocity of an object that starts from rest, accelerates uniformly at 3 m/s², and travels a displacement of 45 meters?

• 15 m/s

• 18 m/s

• 21 m/s

• 12 m/s